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Finding the Fourth Proportional to 886.92, 1,330.34 and 366.78

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Solution

The fourth proportional to 886.92, 1,330.34 and 366.78 is: 550.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.92 : 1,330.34 = 366.78 : x
  2. Step 2: Convert to fraction form
    886.92/1,330.34 = 366.78/x
  3. Step 3: Cross multiply
    886.92x = 1,330.34 × 366.78
  4. Step 4: Simplify right side
    886.92x = 487,943.02
  5. Step 5: Solve for x
    x = 487,943.02/886.92
  6. Step 6: Final answer
    x = 550.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.